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Finding the Fourth Proportional to 319,980.02, 479,970.06 and 83,322.02

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Solution

The fourth proportional to 319,980.02, 479,970.06 and 83,322.02 is: 124,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,980.02 : 479,970.06 = 83,322.02 : x
  2. Step 2: Convert to fraction form
    319,980.02/479,970.06 = 83,322.02/x
  3. Step 3: Cross multiply
    319,980.02x = 479,970.06 × 83,322.02
  4. Step 4: Simplify right side
    319,980.02x = 39,992,074,938.72
  5. Step 5: Solve for x
    x = 39,992,074,938.72/319,980.02
  6. Step 6: Final answer
    x = 124,983.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.